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arXiv · 2109.07919

Solutions of Pauli-Dirac Equation in terms of Laguerre Polynomials within Perturbative Scheme

Altug Arda
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Abstract

We search for first- and second-order corrections to the energy levels of the Pauli-Dirac equation within the Rayleigh-Schr\"odinger theory. We use some identities satisfied by the associated Laguerre polynomials to reach this aim. We give a list presenting analytical forms of some integrals including two associated Laguerre polynomials, or their derivatives.

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Altug Arda. 2021-09-15. Solutions of Pauli-Dirac Equation in terms of Laguerre Polynomials within Perturbative Scheme. https://doi.org/10.1139/cjp-2021-0013

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